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Identify the type of optimal solution for the following LP problems by the graphical solution method. Show...

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General Management

Identify the type ofoptimal solution for the following LP problems by the graphicalsolution method. Show your work

(1)   Min    2X1 +3X2

           S.T.   2X1 - 2X2   <=   2

                 -2X1 +  X2    <=   1

                 X1 => 0,    X2 => 0

If the objective function of the above formulation is changedfrom Min 2X1 + 3X2 to Max2X1 + 3X2, what type ofoptimal solution does this problem provide? Note that allconstraints remain unchanged.

Answer & Explanation Solved by verified expert
4.3 Ratings (915 Votes)
SolutionMIN Zx2x13x2subject to2x12x222x1x21and x1x20Hint to draw constraints1 To draw constraint 2x12x221Treat it as 2x12x22When x10 then x2202x222x22x2221When x20 then x12x12022x12x1221x101x2102 To draw constraint 2x1x212Treat it as 2x1x21When x10 then x220x21x21When x20 then    See Answer
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